What is the 2438th prime number?
The 2438th prime number is 21737. The next prime is 21739 (a gap of 2) and the one before is 21727.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2438th one is 21737.
- 2
21737 is prime because no prime up to ā21737 ā 147.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2438th prime is close to 2438 Ć ln(2438) ā 19014, and here it is 21737.
- 4
21737 is a twin prime: 21737 and 21739 are both prime.
Primes around the 2438th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2435 | 21701 | 18 |
| 2436 | 21713 | 12 |
| 2437 | 21727 | 14 |
| 2438 | 21737 | 10 |
| 2439 | 21739 | 2 |
| 2440 | 21751 | 12 |
| 2441 | 21757 | 6 |
Questions
What is the 2438th prime number?
21737.
Which prime number is 21737?
21737 is the 2438th prime number.
What is the sum of the first 2438 primes?
24,845,207.